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Finding the Third Proportional to 713,946 and 951,819

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Solution

The third proportional to 713,946 and 951,819 is: 1,268,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,946 : 951,819 = 951,819 : x
  2. Step 2: Convert to fraction form
    713,946/951,819 = 951,819/x
  3. Step 3: Cross multiply
    713,946x = 951,819 × 951,819
  4. Step 4: Simplify right side
    713,946x = 905,959,408,761
  5. Step 5: Solve for x
    x = 905,959,408,761/713,946
  6. Step 6: Final answer
    x = 1,268,946.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.